38733632 has 56 divisors (see below), whose sum is σ = 90708480. Its totient is φ = 16058880.

The previous prime is 38733623. The next prime is 38733637. The reversal of 38733632 is 23633783.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×38733632² = 3000588495822848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38733592 and 38733601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38733637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12494 + ... + 15282.

Almost surely, 2^38733632 is an apocalyptic number.

38733632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

38733632 is an abundant number, since it is smaller than the sum of its proper divisors (51974848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38733632 is a wasteful number, since it uses less digits than its factorization.

38733632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2829 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 38733632 is about 6223.6349507342. The cubic root of 38733632 is about 338.3473198831.

The spelling of 38733632 in words is "thirty-eight million, seven hundred thirty-three thousand, six hundred thirty-two".